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Les différentes notions d'inversibilité et applications

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par Adil BOUHRARA
Université de Fès - Master mathématiques informatique et applications 2012
  

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Bibliographie

[1] J.J. Koliha, A generalized Drazin inverse, Glasgow Math. J. 38 (1996) 367-381.

[2] Guifen Zhuang, and Jianlong Che, and Dragana S. Cvetkovic-Ilic, and Yimin Wei. Additive Property of Drazin Invertibility of Elements in a Ring.

[3] M. Z. Nashed, Generalized Inverses and Applications, Academic Press, New York, 1976.

[4] J. J. Koliha, Isolated spectral points, Proc. Amer. Math. Soc. 124 (1996) 3417-3424.

[5] J.Ph.Labrouse.Inverses Generalises d'operateurs non Bornes

[6] Enrico Boasso. On the Moore-Penrose Inverse in C*-algebras.Vol. 21, Num. 2, 93 106 (2006)

[7] J. J. Koliha,Some convergence theorems in Banach algebras, Pacific J. Math. 52 (1974),467-473.

[8] Harte, R., Mbekhta, M., On generalized inverses in C*-algebras, Studia Math., 103 (1992), 71 77.

[9] Harte, R., Mbekhta, M., On generalized inverses in C*-algebras II, Studia Math., 106 (1993), 129 138.

[10] Mbekhta, M., Conorme et inverse generalise dans les C*-algebres, Canadian Math. Bull., 35 (4) (1992), 515 - 522.

[11] J. J. Koliha and V. Rakocevic, Continuity of the Drazin inverse II , Studia Math.,

[12] V. Rako cevic, Moore-Penrose inverse in Banach algebras, Proc. Royal Irish Acad. 88A (1988), 57-60.

[13] J.J.Koliha and T.D.Than.Closed semsitable operators and the asynchronous exponential growth of C0-semi groupe.preprint.

[14] V. Rako cevic, Continuity of the Drazin inverse, J. Operator Theory,

[15] J.J. Koliha and P. Patricio, Elements of rings with equal spectral idem- potents, J. Aust. Math. Soc. 72 (2002) 137-152.

[16] A. E. Taylor and D. C. Lay, Introduction to Functional Analysis, 2nd edition, Wiley, New York, 1980.

[17] A. Ben-Israel and T. N. E. Greville, Generalized Inverses : Theory and Applications, Wiley-Interscience, New York, 1974.

[18] M. P. Drazin, Pseudo-inverse in associative rings and semigroups

[19] R. E. Harte, Spectral projections, Irish Math. Soc. Newsletter., 11 (1984), 10 - 15.

[20] R. E. Harte, On quasinilpotents in rings, PanAm. Math. J. 1 (1991), 10 - 16.

[21] M. Z. Nashed and Y. Zhao, The Drazin inverse for singular evolution equations and partial differential equations, World Sci. Ser. Appl. Anal. 1 (1992), 441- 456

[22] A. E. Taylor and D. C. Lay, Introduction to Functional Analysis, 2nd edition, Wiley, New York, 1980.

[23] J. J. Koliha THE DRAZIN AND MOORE-PENROSE INVERSE IN C*-ALGEBRAS

[24] Boulmaarouf, Z., Fernandez Miranda, M., Labrousse, J.-Ph. 1997 An algorithmic approach to orthogonal projections and Moore-Penrose inverses, Numer. Funct. Anal. Optim. 18, 55-63.

[25] Groetsch, C. W. 1975 Representation of the generalized inverse, J. Math. Anal. Appl. 49, 154-157.

[26] Showalter, D. 1967 Representation and computation of the pseudoinverse, Proc. Amer. Math. Soc. 18, 584-586.

[27] J. J. Koliha and Trung Dinh Tran. The Drazin inverse for closed linear operators

[28] S. L. Campbell and C. D. Meyer, Generalized Inverses of Linear Transformations, Pitman, London, 1979

[29] S. R. Caradus, Operator Theory of Generalized Inverse, Queen's Papers in Pure and Appl. Math. 38, Queen's University, Kingston, Ontario, 1974.

[30] M. Z. Nashed, Inner, outer and generalized inverses in Banach and Hilbert spaces, Numer. Funct. Anal. Optim. 9 (1987), 261-325.

[31] YIHUA LIAO and JIANLONG CHEN and and JIAN CUI Cline's formula for the generalized Drazin inverse.

[32] Hïam Brezis. Analyse Fonctionnelle. Théorie et Applications.

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